Way to print the keyboard shortcut to the screen if I use the manual way to perform an action instead of the keyboard shortcut.?
I don't think, such an add on can be done in python.

Most menu shortcuts are written on the right side of the menu item.





To ascertain other shortcuts, do the following.


Hover over the menu item. You will see the python command. Make a note of the command after bpy.ops. In this case object.edit_mode.
Open the User Preferences CtrlAltU and go to the Input tab. Type the command in the searchbar and hotkey entries will be shown.